SZodixStudyAcademic Library
ShelvesOpen access
Study · an open academic library·Metadata from OpenAlex (CC0)·Shelves·OpenAlex metadata, de-duplicated
Algorithms for Propagating Uncertainty Across Heterogeneous Domains
12 references·0 citing·32 second hop
Algorithms for Propagating Uncertainty Across Heterogeneous Domains (2015)Algorithms for Propagating Uncertainty Ac…Local Polynomial Chaos Expansion for Linear Differential Equations with High Dimensional Random Inputs (2015)Local Polynomial Chaos Expans…On the convergence of generalized polynomial chaos expansions (2011)On the convergence of general…Uncertainty quantification via random domain decomposition and probabilistic collocation on sparse grids (2010)Uncertainty quantification vi…Multi-element probabilistic collocation method in high dimensions (2009)Multi-element probabilistic c…The multi-element probabilistic collocation method (ME-PCM): Error analysis and applications (2008)The multi-element probabilist…Domain decomposition of stochastic PDEs: Theoretical formulations (2008)Domain decomposition of stoch…A stochastic coupling method for atomic-to-continuum Monte-Carlo simulations (2008)A stochastic coupling method …A Sparse Grid Stochastic Collocation Method for Partial Differential Equations with Random Input Data (2008)A Sparse Grid Stochastic Coll…A Stochastic Collocation Method for Elliptic Partial Differential Equations with Random Input Data (2007)A Stochastic Collocation Meth…Multi-Element Generalized Polynomial Chaos for Arbitrary Probability Measures (2006)Multi-Element Generalized Pol…A Two-Scale Nonperturbative Approach to Uncertainty Analysis of Diffusion in Random Composites (2004)A Two-Scale Nonperturbative A…The Wiener--Askey Polynomial Chaos for Stochastic Differential Equations (2002)The Wiener--Askey Polynomial …Stochastic Differential Equations: An Introduction with Applications. (1987)Stochastic Finite Elements: A Spectral Approach (1991)To be or not to be intrusive? The solution of parametric and stochastic equations - the "plain vanilla" Galerkin case. (2013)Collocation methods for fuzzy uncertainty propagation in heat conduction problem (2016)Global Sensitivity Analysis for Uncertain Parameters, Models, and Scenarios (2016)Global sensitivity indices for nonlinear mathematical models and their Monte Carlo estimates (2001)Adaptive-sparse polynomial chaos expansion for reliability analysis and design of complex engineering systems (2010)An adaptive high-dimensional stochastic model representation technique for the solution of stochastic partial differential equations (2010)Enhancing ℓ1 -minimization estimates of polynomial chaos expansions using basis selection (2015)Modeling uncertainty in flow simulations via generalized polynomial chaos (2003)An adaptive hierarchical sparse grid collocation algorithm for the solution of stochastic differential equations (2009)A Stochastic Collocation Method for Elliptic Partial Differential Equations with Random Input Data (2010)Data-driven uncertainty quantification using the arbitrary polynomial chaos expansion (2012)Random matrix theory for modeling uncertainties in computational mechanics (2004)Comput. Methods Appl. Mech. Engrg. (2010)A reduced spectral function approach for the stochastic finite element analysis (2011)A multiscale method with patch for the solution of stochastic partial differential equations with localized uncertainties (2012)High-Order Collocation Methods for Differential Equations with Random Inputs (2005)An adaptive algorithm to build up sparse polynomial chaos expansions for stochastic finite element analysis (2009)Survey of Multifidelity Methods in Uncertainty Propagation, Inference, and Optimization (2018)Stochastic Differential Equations (2003)Time-dependent generalized polynomial chaos (2010)Global sensitivity analysis using polynomial chaos expansions (2007)Adaptive sparse polynomial chaos expansion based on least angle regression (2010)Uncertainty Quantification and Polynomial Chaos Techniques in Computational Fluid Dynamics (2008)DAKOTA : a multilevel parallel object-oriented framework for design optimization, parameter estimation, uncertainty quantification, and sensitivity analysis. Version 5.0, user's manual. (2010)Addressing the curse of dimensionality in SSFEM using the dependence of eigenvalues in KL expansion on domain size (2016)A Critical Appraisal of Design of Experiments for Uncertainty Quantification (2017)Adaptive experimental design for multi‐fidelity surrogate modeling of multi‐disciplinary systems (2022)Sparse tensor discretizations of high-dimensional parametric and stochastic PDEs (2011)Adaptive Smolyak Pseudospectral Approximations (2013)Sparse Polynomial Chaos Expansions: Literature Survey and Benchmark (2021)
this work references cited by second hop

References

  • 2002The Wiener--Askey Polynomial Chaos for Stochastic Differential Equations4,821 cited
  • 2007A Stochastic Collocation Method for Elliptic Partial Differential Equations with Random Input Data1,396 cited
  • 2008A Sparse Grid Stochastic Collocation Method for Partial Differential Equations with Random Input Data942 cited
  • 2006Multi-Element Generalized Polynomial Chaos for Arbitrary Probability Measures498 cited
  • 2011On the convergence of generalized polynomial chaos expansions414 cited
  • 2008The multi-element probabilistic collocation method (ME-PCM): Error analysis and applications214 cited
  • 2009Multi-element probabilistic collocation method in high dimensions203 cited
  • 2008Domain decomposition of stochastic PDEs: Theoretical formulations65 cited
  • 2010Uncertainty quantification via random domain decomposition and probabilistic collocation on sparse grids59 cited
  • 2015Local Polynomial Chaos Expansion for Linear Differential Equations with High Dimensional Random Inputs39 cited
  • 2008A stochastic coupling method for atomic-to-continuum Monte-Carlo simulations35 cited
  • 2004A Two-Scale Nonperturbative Approach to Uncertainty Analysis of Diffusion in Random Composites26 cited

Cited by

No citing works inside the corpus for this window.

Only edges whose both ends are imported exist here. Widen the year window, or show the whole map. Back to the work